Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 111 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #11763211 | C4 | semidirect |
| 11. #11763207 | C4 | semidirect |
| 38. C17×M32 | Q8 | semidirect |
| 40. C2×C16×C17 | Q8 | semidirect |
| 161. M32 | Dic34 | semidirect |
| 163. C2×C16 | Dic34 | semidirect |
| 177. C17 | #13291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539315 | 2 |
| #14528908 | 2 |
| #14526899 | 2 |
| #14526890 | 2 |
| #14526886 | 2 |
| #14526883 | 2 |
| C17×#2110 | 2 |
| #13291 | 17 |